3(-5a+1)=-3(a+3)

Solution for 3(-5a+1)=-3(a+3) equation:

Simplifying
3(-5a + 1) = -3(a + 3)

Reorder the terms:
3(1 + -5a) = -3(a + 3)
(1 * 3 + -5a * 3) = -3(a + 3)
(3 + -15a) = -3(a + 3)

Reorder the terms:
3 + -15a = -3(3 + a)
3 + -15a = (3 * -3 + a * -3)
3 + -15a = (-9 + -3a)

Solving
3 + -15a = -9 + -3a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a' to each side of the equation.
3 + -15a + 3a = -9 + -3a + 3a

Combine like terms: -15a + 3a = -12a
3 + -12a = -9 + -3a + 3a

Combine like terms: -3a + 3a = 0
3 + -12a = -9 + 0
3 + -12a = -9

Add '-3' to each side of the equation.
3 + -3 + -12a = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -12a = -9 + -3
-12a = -9 + -3

Combine like terms: -9 + -3 = -12
-12a = -12

Divide each side by '-12'.
a = 1

Simplifying
a = 1